Truncated moment problems for \(J\)-self-adjoint, \(J\)-skew-self-adjoint and \(J\)-unitary operators

DOI10.15352/AFA/06-2-9zbMATH Open1314.47019arXiv1406.3645OpenAlexW2964111835MaRDI QIDQ2346142

S. M. Zagorodnyuk

Publication date: 29 May 2015

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Abstract: In this paper we study truncated moment problems for $J$-self-adjoint, $J$-skew-self-adjoint and $J$-unitary operators. Conditions of the solvability are given. Some canonical solutions of the moment problems are constructed. As a by-product, some extension results for $J$-skew-symmetric and $J$-isometric operators are obtained.

Full work available at URL: https://arxiv.org/abs/1406.3645

zbMATH Keywords

moment problemconjugationextensions of operators

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60)

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